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Finding the Fourth Proportional to 1,534.90, 2,301.02 and 712.74

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Solution

The fourth proportional to 1,534.90, 2,301.02 and 712.74 is: 1,068.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.90 : 2,301.02 = 712.74 : x
  2. Step 2: Convert to fraction form
    1,534.90/2,301.02 = 712.74/x
  3. Step 3: Cross multiply
    1,534.90x = 2,301.02 × 712.74
  4. Step 4: Simplify right side
    1,534.90x = 1,640,028.99
  5. Step 5: Solve for x
    x = 1,640,028.99/1,534.90
  6. Step 6: Final answer
    x = 1,068.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.